Pick the correct inequality sign to make the statement true.



|-53|∣−53∣_____|53|∣53∣




Pick the correct inequality sign to make the statement true.



|-53|∣−53∣_____|53|∣53∣

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Given that the variable y varies directly with the variable x. If the value of x is 14, the value of y will be 21.

Proportional relationships are relationships between two variables where their ratios are equivalent.

A direct variation is expressed;

a ∝ b then a = kb

Where k is the proportionality constant.

Given the data in the question

First, we determine the proportionality constant.

a = kb

15 = k × 10

k = 15/10

k = 3/2

Now, if the value of x is 14, then the value of y will be;

a = kb

y = kx

y = (3/2) × 14

y = ( 3 × 14 )/2

y = 42/2

y = 21

Given that the variable y varies directly with the variable x. If the value of x is 14, the value of y will be 21.

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Answer:

Value of y is 21, when x is 14.

Step-by-step explanation:

Now we have to,

→ find the value of y when x is 14.

Forming the formula,

→ k × 2 = x

→ k × 3 = y

Let's complete the given table,

→ k × 2 = x, k × 3 = y

→ 1 × 2 = 2, 1 × 3 = 3

→ 2 × 2 = 4, 2 × 3 = 6

→ 3 × 2 = 6, 3 × 3 = 9

→ 4 × 2 = 8, 4 × 3 = 12

→ 5 × 2 = 10, 5 × 3 = 15

→ 6 × 2 = 12, 6 × 3 = 18

→ 7 × 2 = 14, 7 × 3 = 21

Then the table will look like,

Hence, y is 21 when x is 14.

Answer:

Yes she has cleaned enough windows.

Step-by-step explanation:

If you simplify 6/10 you get 3/5

He can make 8 party package and each package consists 4 pencils and 7 lollipops with 32 pencils and 56 lollipops .

To determine the greatest number of identical packages possible we have to determine the highest common factor of two given no. , 32 and 56

Let's determine the factors of the 32 and 56 ,

32 = 2 × 16 = 2 × 2 × 2 × 2 × 2

56 = 2 × 2 × 2 × 7

So , common factors are 2 , 2 ,2

Now , The HCF is , 2 × 2 × 2 = 8

So , total combination is 8 and in each combination , there is 4 pencils  ( 32 / 8 = 4 )and 7 ( 56/8 = 7 ) lollipops .

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The answer for this equation would be f = 86

Answer:

Step-by-step explanation:

rghhgrwfgethyrtegrgrfrgtgrgrtt4gt

Answer:

Step-by-step explanation:

The carrier that has the lower initial fee is carrier B

For carrier B, we have the following equation

y = 55x + 300

Set x = 0 to determine the initial fee

y = 55 x 0 + 300

Evaluate

y = 300 ---- the initial fee of carrier B

For carrier A, we have the following points on the table

(x, y) = (3, 500), (6, 650)

The slope of the points is calculated using

m = (y2 - y1)/(x2 - x1)

This gives

m = (650 - 500)/(6 - 3)

Evaluate

m = 50

Let the initial fee of carrier B y

So, we have the following points

(x, y) = (0, y), (6, 650)

The slope of the points is calculated using

m = (y2 - y1)/(x2 - x1)

This gives

m = (650 - y)/(6 - 0)

Evaluate

m = (650 - y)/6

Substitute m = 50 in m = (650 - y)/6

50 = (650 - y)/6

This gives

300 = 650 - y

Solve for y

y = 350

So, we have:

y = 300 ---- the initial fee of carrier B

y = 350 ---- the initial fee of carrier A

300 is less than 350

Hence, the carrier that has the lower initial fee is carrier B

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The solution is Mean = 3.25 for the given distribution's mean and its type of skew.

A list of values, such as measurements or numbers, is used to calculate it by dividing the total number of values in the list by the total number of values in the list. Add up each value in the set to determine the mean. Next, divide the total by the number of values.

based on the facts provided;

Step 1: Presented data:

4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2

Step 2:

Sum of the numbers

         = 4.5 + 3 + 1 + 2 + 4 + 3 + 6 + 4.5 + 4 + 5 + 2 + 1 + 3 + 4 + 3 + 2

         = 52

Sum of the numbers = 52

Number of terms = 16

Step 3:

Mean=sum of the number/number of term

         =52/16

          = 3.25

Mean = 3.25

Mean of the distribution is 3.25.

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The range of possible circumferences and areas for these flying discs are 25. 24 inches to 31. 42 inches and 50. 27 square inches and 78. 55 square inches respectively.

The formula for circumference of a circle is expressed as;

Circumference = πd

Where;

Circumference for diameter of 8 inches

Circumference = 3. 142 × 8 = 25. 14 inches

Area = 1/ 4 πd² = 1/ 4 × 3. 142 × 8²

Area = 50. 27 square inches

Circumference for diameter of 10 inches

Circumference = 3. 142 × 10

Circumference  = 31. 42 inches

Area = 1/ 4 × 3. 142 × 10²

Area = 78. 55 square inches

Thus, the range of possible circumferences and areas for these flying discs are 25. 24 inches to 31. 42 inches and 50. 27 square inches and 78. 55 square inches respectively.

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Answer: C. It illustrates the resistance of the median.

Answer:

1. l

2. h

3. j

4. k

Step-by-step explanation:

Looks right to me :)

Answer:

6.4 (or round to 6 for one digit)

Step-by-step explanation:

Look up "distance between two points formula"

Answer: MN≈6.4

Step-by-step explanation:

[tex]M(-3,-1)\ \ \ \ N(2,3)\\[/tex]

                        [tex]\boxed {MN=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }[/tex]

[tex]x_1=-3\ \ \ \ x_2=2\ \ \ \ y_1=-1\ \ \ \ y_2=3\\MN=\sqrt{(2-(-3))^2+(3-(-1))^2}\\ MN=\sqrt{(2+3)^2+(3+1)^2}\\ MN=\sqrt{5^2+4^2}\\ MN=\sqrt{25+16} \\MN=\sqrt{41} \\MN\approx6.4[/tex]

Answer:

82 + 0.6h = 85           and          h = 5

Step-by-step explanation:

hours = h

82 + 0.6h = 85

85 - 82 = 0.6h

3 = 0.6h

3/0.6 = h

h = 5

Answer:

Step-by-step explanation:

Click this link to see the answer pls. I cannot explain it on this little square box.

i swear, just click it.

https://giphy.com/gifs/trolli-basketball-weirdly-awesome-sour-brite-slam-STcNf6rLHyMA8

Answer: The answer is A) - 9/5, because the slope of the line is decreasing/going downward indicating that the slope is negative. The slope of the line is steep, and so the rise should be more the run.

Step-by-step explanation: hope this helps!!!!!!

When we divide 58 by 5,350, the value is 0.108411.

The information is that we should divide 58 by 5,350.

It should be noted that we cab reduce to the lowrst term before dividing. This will be:

= 58/5350

= 29/2675

Therefore, we can then convert the value to decimal and this will be:

= 29/2675

= 0.108411

The division is 0.108411.

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Answer:

Step-by-step explanation:

20

Answer: KL IS 3 + 9 THEN 5 MINUS NINE

Step-by-step explanation: FIND KL

We can't simplify -49/88 any further because it's already reduced to the least common factor in the numerator and denominator.

We'll leave it as it is;

-49/88

[tex]--------------------------------[/tex]

No podemos simplificar más -49/88 porque ya está reducido al mínimo común divisor en el numerador y el denominador.

Lo dejaremos como está;

-49/88

In parabola ,  the coefficient of the squared expression is -3..

What on a graph is a parabola?

Parabola equation with a vertex at (h, k) is given by y = a(x - h)^2 + k

For the give parabola, y = a(x - 4)^2 - 3

y = a(x^2 - 8x + 16) - 3

At (5, -6)

-6 = a((5)^2 - 8(5) + 16) - 3 = a(25 - 40 + 16) - 3 = a - 3

a = -6 + 3 = -3

Therefore, the coefficient of the squared expression is -3..

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If the scores are a sample, the sample variance is 10, and if the scores are a population, the population variance is 9.

A set of 10 scores has SS = 90.

The formula in getting the population variance is

σ² = SS / N

where SS is the sum of squared deviation and N  is the number of population.

Therefore, the population variance is

σ² = 90 / 10

σ² = 9

The formula in getting the sample variance is

σ² = SS /( n - 1)

where SS is the sum of squared deviation and n is the number of samples.

Therefore, the sample variance is

σ² = 90/ (10 - 1)

σ² = 90 / 9

σ² = 10

Therefore, if the scores are a sample, the sample variance is 10, and if the scores are a population, the population variance is 9.

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Using the absolute value function, the value that is the opposite of being short $3.96 is: x + 3.96.

The absolute function is defined by:

It measures the distance of a point x to the origin, that is, |2| = |-2| = 2.

For this problem, the number is of $3.96, that is:

|x| = 3.96.

Hence:

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Answer:

Impressive explanation

Exactly what I needed

I double checked this and it's fine

Better than from a teacher!

Step-by-step explanation:

Impressive explanation

Exactly what I needed

I double checked this and it's fine

Better than from a teacher!

The total number of marbles that were there in Andy's bag before the bottom split are 84 marbles.

Let, the total number of marbles Andy have in the bad in beginning = x

One third of the marbles rolled down the slope too quickly for Andy to pick them up. So we can write,

Total number of marbles Andy have now = x - (x/3)

One sixth of all the marbles disappeared into the rain-water drain. So, So we can write,

Total number of marbles Andy have now = x - (x/3) - (x/6) = (x/2)

Half of the marbles that remained nearby were picked up by other children who ran off with them. So, we can write

Total number of marbles Andy have now = (x/2) - (x/4) = (x/4)

Andy gave one third of these to Sam for helping him pick them up. So,

Total number of marbles Andy have now = (x/4) - (x/12) = (x/6)

Now, we have given that Andy have 14 marbles in the end in his pocket. On comparing it with above equation, we get

(x/6) = 14

⇒ x = 84

The total number of marbles that were there in Andy's bag before the bottom split are 84 marbles.

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The n th term of the series is 3n where n is the term of reference

As we can see that there is constant difference in the terms

12-9=3

9-6=3

6-3=3

We are made sure that it is the arithmetic progression

Common difference is the difference that is constantly subtracted or added to each term after the first term

Thus the common difference 'd' is  3 as per the calculations above

Now the first term is 3

We know that any N th term of arithmetic progression is given by the formula

Tn= a+ (n-1)*d

where a is the first term of the progression and n is the term of reference and d is the common difference

a=3

d=3

Therefore, nth term of the series is = Tn= 3 + (n-1) *3

 Tn= 3+3n-3

 Tn = 3n

Hence the n th term of the series is 3n where n is the term of reference

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The complete arithmetic sequence is 1, .25, -0.5, -1.25, -2

The arithmetic sequence is given as:

1, .25, blank, -1.25, blank

Replace the blanks in the arithmetic sequence with x and y

So, we have:

1, .25, x, -1.25, y

An arithmetic sequence has a common difference (d)

The common difference is calculated using

d = T2 - T1

So, we have

d = 0.25 - 1

d = x - 0.25

d = y + 1.25

Substitute d = x - 0.25 in d = 0.25 - 1

x - 0.25 = 0.25 - 1

This gives

x = 0.25 + 0.25 - 1

Evaluate the sum

x = -0.5

Substitute d = 0.25 - 1 in d = y + 1.25

0.25 - 1  = y + 1.25

This gives

y = 0.25 - 1 - 1.25

Evaluate

y = -2

Hence, the complete arithmetic sequence is 1, .25, -0.5, -1.25, -2

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Answer:

2.5.8.11.14.17

Step-by-step explanation:

Start from 2 and add 3 every time

The end behavior of g(x) is;Option A: As x→–∞, g(x)→–∞ and as x→∞, g(x)→–∞.

The Factor Theorem states that a function with leading coefficient a and zeros x1, x2, x3,....,xn is defined by;

g(x) = a(x - x1)(x - x2).....(x - xn)

In the given table;

f(x) = 0 for x = -4 and 12. Thus, the zeros are x1 = -4 and x2 = 12

Then the definition is;

g(x) = a(x + 4)(x - 12)

g(x) = a(x² - 8x - 48)

The end behavior is the limit of g(x) as x goes to infinity, thus:

limₓ→ ∞ g(x) = limₓ→ ∞ax² = a * ∞

Since the leading coefficient a is negative, then;

a * ∞ = - ∞

Thus, the end behavior of g(x) is; As x→–∞, g(x)→–∞ and as x→∞, g(x)→–∞.

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Answer:

A. E negitive

Step-by-step explanation:

Answer: x is alys a step behind y so you can make ech difrints by moltapling to ech step

Step-by-step explanation:

Solution : Straight line question : y= 2x-3

Straight Line:

A straight line is just a line with no curves. So, a line that extends to both sides till infinity and has no curves is called a straight line.

Slope:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Use the slope and one of the points to solve for the y-intercept (b).

One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line

1)Point (3,3) (4,5)

slope: (5-3)/(4-3) = 2/1 = 2

Y= mx+c

y -3 = 2(x-3)

y-3= 2x-6

y= 2x-6+3

y= 2x-3

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Step-by-step explanation:

Determine the area of square 1

Answer:

x > - 7

Step-by-step explanation:

- 5x - 7 < 28 ( add 7 to both sides )

- 5x < 35

divide both sides by - 5 , reversing the symbol as a result of dividing by a negative quantity.

x > - 7

Answer:

32

Step-by-step explanation: